Use the sample data and confidence level given below to complete parts​ (a) through​ (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n equals 1011 and x equals 582 who said​ "yes." Use a 90 % confidence level.
​a) Find the best point estimate of the population proportion p.
​(Round to three decimal places as​ needed.)
​
​b) Identify the value of the margin of error E =
(Round to three decimal places as​ needed.)

​c) Construct the confidence interval.
​(Round to three decimal places as​ needed.)

​d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A.
One has 99​% confidence that the sample proportion is equal to the population proportion.
B.
There is a 99​% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
C.
One has 99​% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
99​% of sample proportions will fall between the lower bound and the upper bound.